# An additivity formula for the strict global dimension of C(Ω)

Open Mathematics (2014)

- Volume: 12, Issue: 3, page 470-475
- ISSN: 2391-5455

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topSeytek Tabaldyev. "An additivity formula for the strict global dimension of C(Ω)." Open Mathematics 12.3 (2014): 470-475. <http://eudml.org/doc/269153>.

@article{SeytekTabaldyev2014,

abstract = {Let A be a unital strict Banach algebra, and let K + be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K +), the algebra of continuous functions on K +. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .},

author = {Seytek Tabaldyev},

journal = {Open Mathematics},

keywords = {Strict Banach algebra; Strict projective module; Strict global homological dimension; strict Banach algebra; strict projective module; strict global homological dimension},

language = {eng},

number = {3},

pages = {470-475},

title = {An additivity formula for the strict global dimension of C(Ω)},

url = {http://eudml.org/doc/269153},

volume = {12},

year = {2014},

}

TY - JOUR

AU - Seytek Tabaldyev

TI - An additivity formula for the strict global dimension of C(Ω)

JO - Open Mathematics

PY - 2014

VL - 12

IS - 3

SP - 470

EP - 475

AB - Let A be a unital strict Banach algebra, and let K + be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K +), the algebra of continuous functions on K +. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .

LA - eng

KW - Strict Banach algebra; Strict projective module; Strict global homological dimension; strict Banach algebra; strict projective module; strict global homological dimension

UR - http://eudml.org/doc/269153

ER -

## References

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